Calculating acceleration of a plane weighing 9800N

AI Thread Summary
To calculate the acceleration of a plane weighing 9800N with a forward force of 210000N and a drag force of 500N, the mass is determined to be 1000kg. The resultant force is calculated as 209500N after accounting for drag. The acceleration is then computed as 209500N divided by 1000kg, resulting in 209.5 m/s², which seems excessively high. The discussion highlights confusion regarding the relationship between force, mass, and acceleration, emphasizing that the engine's output is disproportionately large for the plane's weight. Overall, the calculations suggest that the plane's mass may be underestimated given the forces involved.
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Homework Statement



Calculate the acceleration of a plane weighing 9800N when the forward force is 210000N, the drag force due to air resistance is 500N

Homework Equations



F=ma

The Attempt at a Solution



the mass is 1000kg as 9800/9.8 is 100. The resultant force R must be 210000-500=209500

So is the acceleration 209500/1000 or 209500/9800? 209599/9800=21.38ms^2 so that makes a lot more logical sense than 209.5ms^2

But force=massXaccelration not force=weightXacceleration.

I know its another basic question but please someone help stop my head hurting.
 
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1 tonne for a plane is kind of light so that's probably why you're getting such a quick acceleration. I mean even if you didn t take the air resistance into account, the output of energy by the engine is waaaay to big for 1000kg -s of mass.

I think the engine alone would have to weigh a lot more than that
 
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